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Finding the Fourth Proportional to 15,507.77, 21,400.94 and 9,535.91

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Solution

The fourth proportional to 15,507.77, 21,400.94 and 9,535.91 is: 13,159.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,507.77 : 21,400.94 = 9,535.91 : x
  2. Step 2: Convert to fraction form
    15,507.77/21,400.94 = 9,535.91/x
  3. Step 3: Cross multiply
    15,507.77x = 21,400.94 × 9,535.91
  4. Step 4: Simplify right side
    15,507.77x = 204,077,354.59
  5. Step 5: Solve for x
    x = 204,077,354.59/15,507.77
  6. Step 6: Final answer
    x = 13,159.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.